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emirpimeses
A number is called emirpimes if it is a semiprime and if its reverse is a different semiprime, thus excluding palindromic semiprimes.

For example,  $155=5\cdot 31$  is also an emirpimes, since its reversal is another semiprime  $511=19\cdot29$.

The smallest 3 × 3 magic square of emirpimes that remain magic when all the entries are reversed is

363573672603 536376373062
350345355567  $\Leftrightarrow$  305353547655
646717035435 764630715345

The first emirpimeses are 15, 26, 39, 49, 51, 58, 62, 85, 93, 94, 115, 122, 123, 129, 143, 155, 158, 159, 169, 177, 178, 183, 185, 187, 203, 205 more terms

Pictorial representation of remainders (mod 2, 3, ...,11) frequency. For a table of values and more details click here
remainders of emirpimeses

A graph displaying how many emirpimeses are multiples of the primes p from 2 to 71. In black the ideal line 1/p.
divisibility of emirpimeses
Useful links Mathworld, Emirpimes
OEIS, Sequence A097393
Emirpimeses can also be... (you may click on names or numbers and on + to get more values)

aban 15 26 39 + 99000998 alt.fact. 36614981 alternating 49 58 85 + 98989678 amenable 49 85 93 + 99999997 apocalyptic 226 355 394 + 28999 arithmetic 15 39 49 + 9999998 astonishing 15 Bell 15 203 binomial 15 1891 3403 + 97531561 brilliant 15 49 143 + 99460729 c.decagonal 551 781 5611 + 99837461 c.heptagonal 2458 3046 3473 + 99972881 c.nonagonal 1891 3403 5671 + 97531561 c.octagonal 49 169 289 + 99460729 c.pentagonal 51 226 766 + 99619141 c.square 85 221 265 + 99701321 c.triangular 85 514 1135 + 99792739 cake 15 26 93 + 87919693 Canada 581 8549 canyon 203 205 302 + 98765489 congruent 15 39 62 + 9999998 constructible 15 51 85 + 1114129 Cullen 22529 Cunningham 15 26 122 + 99920017 Curzon 26 158 221 + 99999794 cyclic 15 51 85 + 9999967 D-number 15 39 51 + 7042731 d-powerful 226 629 794 + 9992722 de Polignac 1211 1243 1807 + 99999937 decagonal 85 1387 2047 + 98034751 deceptive 4187 12403 14701 + 99790381 deficient 15 26 39 + 9999998 dig.balanced 15 49 169 + 66996737 double fact. 15 Duffinian 39 49 85 + 9999967 eban 62 2042 2062 + 66056066 economical 15 49 115 + 19999979 equidigital 15 49 115 + 19999979 eRAP 11592089 17219723 31803559 + 66182693 esthetic 123 321 1234 + 89876543 Eulerian 26 302 502 evil 15 39 51 + 99999997 fibodiv 122 183 497 + 94164767 Fibonacci 4181 17711 1346269 Friedman 289 11663 12091 + 999163 frugal 1849 3481 3721 + 99460729 gapful 143 187 341 + 99990607 Gilda 49 314 3242189 happy 49 94 129 + 9999967 Harshad 511 629 1011 + 99992171 heptagonal 1177 1651 2059 + 94025023 hex 169 817 1027 + 99965269 hexagonal 15 1891 12403 + 97071211 hoax 58 85 94 + 99999238 Hogben 183 381 553 + 99810091 house 155 933 2234 + 99402731 hungry 2401519 hyperperfect 2041 389593 1055833 + 97585249 iban 122 123 143 + 777721 iccanobiF 39 514 792517 idoneal 15 58 85 + 177 inconsummate 62 326 381 + 999911 interprime 15 26 39 + 99999058 Jacobsthal 85 341 junction 115 319 511 + 99999853 Kaprekar 181819 5072059 katadrome 51 62 85 + 98754321 Kynea 16639 Lehmer 15 51 85 + 99947761 Leyland 177 7073 131361 lonely 1343 370313 370317 47326799 Lucas 123 15127 64079 lucky 15 49 51 + 9999721 Lynch-Bell 15 magic 15 1379 12209 + 93084991 magnanimous 49 58 85 + 26428645 metadrome 15 26 39 + 12345789 modest 26 39 49 + 99929999 Moran 511 629 1011 + 99992171 Motzkin 51 835 mountain 143 183 185 + 89876543 nialpdrome 51 62 85 + 99999997 nonagonal 559 7291 11629 + 95831929 nude 15 115 122 + 17177111 oban 15 26 39 + 998 octagonal 341 8321 109061 + 97219361 odious 26 49 62 + 99999982 pancake 326 497 562 + 99976871 panconsummate 15 39 85 + 3097 pandigital 15 177 1202 + 16421923 partition 15 pentagonal 51 1247 1717 + 96621001 pernicious 26 49 62 + 9999998 Perrin 39 51 158 + 37295141 plaindrome 15 26 39 + 79999999 Poulet 341 1387 2047 + 99789673 power 49 169 289 + 99460729 powerful 49 169 289 + 99460729 primeval 1079 1379 10123 + 1002379 productive 58 178 502 + 1935442 Proth 49 129 177 + 99844097 repfigit 7909 7913837 repunit 15 85 183 + 99810091 Rhonda 54479 7388951 18552839 + 98655551 Ruth-Aaron 15 49 493 + 98186633 Sastry 183 self 143 187 413 + 99999794 self-describing 10183331 10322123 10331831 + 33311819 semiprime 15 26 39 + 99999997 sliding 205 502 16265 + 3906506 Smith 58 85 94 + 99999238 square 49 169 289 + 99460729 star 4537 7141 11881 + 99951853 straight-line 123 159 321 + 7654321 strobogrammatic 1691 1961 6889 + 99911666 subfactorial 265 super-d 169 319 335 + 9999919 tetranacci 15 10671 547337 triangular 15 1891 3403 + 97531561 trimorphic 49 51 18751 uban 15 26 39 + 99000089 Ulam 26 62 155 + 10000153 undulating 1313 1717 3131 + 9797 unprimeable 326 514 538 + 9999965 untouchable 326 562 718 + 999478 upside-down 159 951 1379 + 99928111 vampire 124483 146137 371893 + 77329939 wasteful 26 39 51 + 9999998 Wieferich 17555 45643 Woodall 159 1214 2047 + 90699263 Zuckerman 15 115 1115 zygodrome 1177 7711 7799 + 99999911